Question
In 80 litres of a mixture (milk + water), ratio of
quantity of milk to that of water in a mixture is 5:3, respectively. (x + 4) litres of milk and 25 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 40% more than that of water in it. Find the value of ‘x’.Solution
Initially, Quantity of milk in the mixture = 80 × (5/8) = 50 litres Quantity of water in the mixture = 80 – 50 = 30 litres According to the question, 1.40 × (30 + 25) = 50 + x + 4 => 77 = 54 + x => x = 23
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